List of top Questions asked in MET

A point object O is placed in front of a glass rod having spherical end of radius of curvature 30 cm. The image would be formed at
In the formation of a rainbow light from the sun on water droplets undergoes
If no external voltage is applied across p-n junction, there would be
Light travelling from a transparent medium to air undergoes total internal reflection at an angle of incidence of 45°. Then refractive index of the medium may be
A force F acting on a body depends on its displacement S as \(F \propto S^{-1/3}\). The power delivered by F will depend on displacement as
Binding energy per nucleon plot against the mass number for stable nuclei is shown in the figure. Which curve is correct?
A light ray from air is incident (as shown in figure) at one end of a glass fiber (refractive index \(\mu = 1.5\)) making an incidence angle of 60° on the lateral surface, so that it undergoes a total internal reflection. How much time would it take to traverse the straight fiber of length 1 km?
A thermodynamic system is taken through the cycle PQRSP process. The net work done by the system is
Consider four circuits shown in the figure below. In which circuit power dissipated is greatest? (Neglect the internal resistance of the power supply).
Two capacitors \(C_1\) and \(C_2 = 2C_1\) are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and \(C_1\) holds charge Q. The switch is closed. At steady state, the charge on each capacitors will be
A particle is moving in a vertical circle. The tensions in the string when passing through two positions at angles 30° and 60° from vertical (lowest positions) are \(T_1\) and \(T_2\), respectively. Then
A coil of 100 turns carries a current of 5 mA and creates a magnetic flux of \(10^{-5}\) Wb. The inductance is
The starter motor of a car draws a current \(I = 300\) A from the battery of voltage 12 V. If the car starts only after 2 minutes, what is the energy drawn from the battery?
Surface of the lake is at 2°C and depth of the lake is 20 m. Find the temperature of the bottom of the lake
\(y_1 = 4\sin(\Omega t + kx)\), \(y_2 = -4\cos(\Omega t + kx)\). The phase difference is
A charged particle of mass 0.003 g is held stationary in space by placing it in a downward direction of electric field of \(6 \times 10^4\) N/C. Then the magnitude of the charge is
A parallel plate capacitor has an electric field of \(10^5\) V/m between the plates. If the charge on the capacitor plate is 1 \(\mu\)C, the force on each capacitor plate is
1 g of water at atmospheric pressure has volume of 1 cc and when boiled it becomes 1681 cc of steam. The heat of vaporisation of water is 540 cal/g. Then the change in its internal energy in this process is
A physicist works in a laboratory where the magnetic field is 2 T. She wears a necklace enclosing area 0.01 m\(^2\) in such a way that the plane of the necklace is normal to the field and is having a resistance \(R = 0.01\ \Omega\). Because of power failure, the field decays to 1 T in time \(10^{-3}\) s. Then what is the total heat produced in her necklace?
The temperature coefficient of resistance of a wire is 0.00125 °C\(^{-1}\). At 300 K, its resistance is 1 \(\Omega\). At what temperature the resistance of the wire will be 2 \(\Omega\)?
The solubility CaF\(_2\) is s moles/litre. Then solubility product is
If \(p\), \(T\), \(\rho\) and \(R\) represents pressure, temperature, density and universal gas constant respectively, then the molar mass of the ideal gas is given by
The kinetic energy of a gas molecule is ..... temperature
The ratio of rate of diffusion of SO\(_2\) (M = 64) and oxygen (M = 32) is
An aqueous solution freezes at -0.186°C, then elevation in boiling point is (\(K_b = 0.512\), \(K_f = 1.86\))